This paper discussed the impact of multi-objective function in a swarm-based optimization approach for modulate proportional-integral-derivative (PID) controller parameters of a static var compensator (SVC) in a single machine infinite bus (SMIB) system. SVC is a Flexible Alternating Current Transmission Systems (FACTS) devices which often used to increase the damping of the synchronous generator. In this paper, three parameters of PID controller: proportional gain, K<sub>P</sub>, interval gain, K<sub>I</sub> and derivative gain, K<sub>D</sub> are tuned with particle swarm optimization (PSO) approach. One multi-objective function (MO) that derived from the consolidation of maximum damping factor, σ<sub>max</sub> and minimum damping ratio, ξ<sub>min</sub> is proposed to elevate the damping capability of the systems. Validation with respect to speed response and eigenvalues verification proved that the proposed MO is more competent than single objective function.